We consider the Euler equations governing
relativistic compressible fluids evolving in the Minkowski spacetime with several
spatial variables.
We propose a new symmetrization
which makes sense for solutions containing vacuum states
and, for instance, applies to the case of compactly supported solutions which are
important to model star dynamics.
Then, relying on these symmetrization and assuming that the velocity does not exceed some threshold
and remains bounded away from the light speed,
we deduce a local-in-time existence result for solutions containing vacuum states.
We also observe that the support of compactly supported solutions does not expand as time evolves.